[1]张聪,佐藤忠信,吕令毅.基于地震动相位谱不确定性模型的单自由度体系响应[J].东南大学学报(自然科学版),2012,42(1):131-136.[doi:10.3969/j.issn.1001-0505.2012.01.025]
 Zhang Cong,Tadanobu Sato,Lü Lingyi.Response of SDOF system based on earthquake phase spectrum uncertainty model[J].Journal of Southeast University (Natural Science Edition),2012,42(1):131-136.[doi:10.3969/j.issn.1001-0505.2012.01.025]
点击复制

基于地震动相位谱不确定性模型的单自由度体系响应()
分享到:

《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
42
期数:
2012年第1期
页码:
131-136
栏目:
土木工程
出版日期:
2012-01-18

文章信息/Info

Title:
Response of SDOF system based on earthquake phase spectrum uncertainty model
作者:
张聪1佐藤忠信2吕令毅12
(1东南大学土木工程学院,南京 210096)
(2东南大学城市工程科学国际研究中心,南京 210096)
Author(s):
Zhang Cong1Tadanobu Sato2Lü Lingyi12
(1 School of Civil Engineering,Southeast University, Nanjing 210096, China)
(2 International Institute for Urban Systems Engineering, Southeast University, Nanjing 210096, China)
关键词:
群延时随机微分方程相位谱响应
Keywords:
group delay time stochastic differential equation phase spectrum response
分类号:
TU312.1
DOI:
10.3969/j.issn.1001-0505.2012.01.025
摘要:
提出了一个基于随机微分方程的群延时模型用以描述和模拟地震动相位谱.利用此相位谱模型推导出了线性单自由度结构体系在地震荷载作用下位移响应均值和方差的理论计算公式,采用时域和频域的方法对位移响应的统计特性进行了分析.结果表明:该相位谱模型能较好地模拟实际地震动的相位谱; 对于线性单自由度体系,在任一频率处,位移响应相位角的均值与激励群延时的均值成反比; 而位移响应相位角的方差与激励群延时的方差成正比; 位移响应的均值和方差均与激励各谐波分量相位角的方差成反比,从而位移响应的峰值亦与该方差成反比.
Abstract:
A group delay time (GDT) model is presented to characterize and simulate phase spectrum of ground motion by using stochastic differential equation (SDE). Based on the GDT model, theoretical equations were founded to calculate mean and variance of displacement response of single degree of freedom (SDOF) system under earthquake loads. Statistical characteristics of system displacement response were clarified by using analysis both in time domain and in frequency domain. The results show that the phase spectrum model proposed can provide efficient simulations of real ground motions. For SDOF system, mean value of phase angle of displacement response is inversely proportional to mean value of GDT of excitation at each frequency, while variance of phase angle of displacement response is directly proportional to variance of GDT of excitation. The mean and variance of displacement response of SDOF system get large when variances of phase angle of exciting harmonic waves become small. And so does the peak displacement response.

参考文献/References:

[1] 谭俊林,张文孝,王增光.用相位差谱统计规律探讨人造地震动方法[J].内陆地震,2006,20(1):40-47.
  Tan Junlin,Zhang Wenxiao,Wang Zengguang.Study on artificial ground motion method with statistical law of phase difference spectrum [J].Inland Earthquake,2006,20(1):40-47.(in Chinese)
[2] 田玉基,杨庆山.基于相位差谱的空间相关非平稳地震动场的模拟[J].计算力学学报,2010,27(5):828-833.
  Tian Yuji,Yang Qingshan.Phase-difference-based simulation of spatial correlated and non-stationary seismic ground motions [J].Chinese Journal of Computational Mechanics,2010,27(5):828-833.(in Chinese)
[3] Yamane T,Nagahashi S.A study on a generation of simulated earthquake ground motion considering phase difference characteristics [J].Journal of Structural and Construction Engineering,2010,75(649):539-548.
[4] Katsukura K,Izumi M.A foundamental study on the phase properties of seismic waves [J].Journal of Structural and Construction Engineering,Transactions of AIJ,1983,327(5):20-27.
[5] Sato T,Murono Y,Nishimura A.Phase spectrum modeling to simulate design earthquake motion [J].Journal of Natural Disaster Science,2002,24(2):91-100.
[6] Zhang Cong,Sato T,Lu Lingyi.A phase model of earthquake motions based on stochastic differential equation [J].KSCE Journal of Civil Engineering,2011,15(1):161-166.
[7] Boore D M.Phase derivatives and simulation of strong ground motions [J].Bulletin of the Seismological Society of America,2003,93(3):1132-1143.
[8] 赵凤新,胡聿贤.地震动反应谱与相位差谱的关系[J].地震学报,1996,18(3):287-291.
[9] Murono Y.Evaluation of response spectrum considering the stochastic characteristics of the phase spectrum of earthquake motion [J].Quarterly Report of RTRI,2008,49(2):85-88.
[10] Mikosch Thomas.Elementary stochastic calculus with finance in view [M].Singapore:World Scientific Publishing Co.Pte.Ltd,1998.

备注/Memo

备注/Memo:
作者简介:张聪(1978—),男,博士生;吕令毅(联系人),男,博士,教授,博士生导师,lylu@seu.edu.cn.
基金项目:国家重点基础研究发展计划(973计划)资助项目(2007CB714200)、高等学校博士学科点专项科研基金资助项目(20070286017).
引文格式: 张聪,佐藤忠信,吕令毅.基于地震动相位谱不确定性模型的单自由度体系响应[J].东南大学学报:自然科学版,2012,42(1):131-136.[doi:10.3969/j.issn.1001-0505.2012.01.025]
更新日期/Last Update: 2012-01-20